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Finding the Third Proportional to 197,763.75 and 419,098.50

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Solution

The third proportional to 197,763.75 and 419,098.50 is: 888,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,763.75 : 419,098.50 = 419,098.50 : x
  2. Step 2: Convert to fraction form
    197,763.75/419,098.50 = 419,098.50/x
  3. Step 3: Cross multiply
    197,763.75x = 419,098.50 × 419,098.50
  4. Step 4: Simplify right side
    197,763.75x = 175,643,552,702.25
  5. Step 5: Solve for x
    x = 175,643,552,702.25/197,763.75
  6. Step 6: Final answer
    x = 888,148.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.